Table 1 SOAM individual level variables and values.

From: Opinion amplification causes extreme polarization in social networks

Variable

Definition

Value range

\({O}_{i,t=0}\)

Initialized opinion of individual \(i\) at timestep 0, which is a random number between value range. A value of −1.0 means a very negative opinion on the topic, and a value of 1 means a very positive opinion on the topic. Note that for \(t\) > 0, there is potential for opinions to go beyond the original opinion range

[−1.0, 1.0]

\({O}_{i,t>0}\)

Opinion of individual \(i\) at timestep \(t\) > 0

[−∞, ∞]

\({E}_{i}\)

Whether or not the individual \(i\) is an amplifier

True/False

\({E}_{i,t}\)

Whether or not the individual \(i\) amplifies their opinion in timestep \(t\), which is True if

\({E}_{i}=True\, and\, {P}_{i,t}\le Pe,\) where \({P}_{i,t}\) is a generated probability for that individual \(i\) at that timestep \(t\)

True/False

\({\sigma }_{i,t}\)

Amplified amount for individual \(i\) at timestep \(t\), a random number between 0 and \(s\), where \(s\) is the strength of amplification, see Table 2

[0, \(s\)]